Public Practice Guide
Use this guide to see the type of reasoning MathRoutine expects for grade 7 geometry & formulas word problems. The goal is not worksheet volume; it is helping students read the situation, choose a model, and explain why the answer fits.
What Students Practice
Reasoning Patterns
Sample Problems
These grade-specific examples show the kind of student-visible reasoning MathRoutine is designed to support: identifying the important quantities, choosing the right structure, and checking the final answer against the story.
A rectangle has area 135 square feet and width 9 feet. What is its perimeter?
Reasoning Strategy
Find the missing length first, then use perimeter.
AI Support Preview
Prevent using the area as a side length.
A triangle has area 72 square centimeters and base 16 centimeters. What is its height?
Reasoning Strategy
Use A = 1/2 bh and solve for the missing height.
AI Support Preview
Show why doubling the area helps undo the one-half.
A circular garden has diameter 10 meters. About how many square meters of planting area does it have?
Reasoning Strategy
Find the radius first, then use the circle area formula.
AI Support Preview
Flag diameter versus radius before substituting.
Practice Ladder
Modeled after middle-school workbook expectations: combine fluency with ratio, percent, equation, and geometry reasoning rather than only isolated computation.
Name the figure, measurement, or relationship required by the story.
Choose the correct formula, similarity relationship, or coordinate model.
Check that the final unit matches the question: length, area, volume, angle, or count.
Assessment Signals
A guide is useful only if it clarifies what teachers and parents should look for in student work. MathRoutine tracks these signals during practice instead of treating every miss as the same mistake.
Common Mistakes
Learning Loop
A strong word problem platform should not only say right or wrong. It should notice the pattern: missed unit rate, ignored leftover, reversed comparison, wrong base percent, or equation setup error.
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Attempt
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Diagnosis
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Next practice
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